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Finding the Fourth Proportional to 326.16, 449.55 and 227.34

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Solution

The fourth proportional to 326.16, 449.55 and 227.34 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 449.55 = 227.34 : x
  2. Step 2: Convert to fraction form
    326.16/449.55 = 227.34/x
  3. Step 3: Cross multiply
    326.16x = 449.55 × 227.34
  4. Step 4: Simplify right side
    326.16x = 102,200.70
  5. Step 5: Solve for x
    x = 102,200.70/326.16
  6. Step 6: Final answer
    x = 313.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.